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Prog. Theor. Phys. Vol. 105 No. 4 (2001) pp. 673-690

[ Full Text PDF : FREE ACCESS (196K) ]

Integrability and Scheme Independence of Even-Dimensional Quantum Geometry Effective Action

Ken-ji Hamada*)

Institute of Particle and Nuclear Studies
High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan

(Received December 11, 2000)

Abstract:

We investigate how the integrability conditions for conformal anomalies constrain the form of the effective action in even-dimensional quantum geometry. We show that the effective action of four-dimensional quantum geometry (4DQG) satisfying integrability has a manifestly diffeomorphism invariant and regularization scheme-independent form. We then generalize the arguments to six dimensions and propose a model of 6DQG. A hypothesized form of the 6DQG effective action is given.


URL : http://ptp.ipap.jp/link?PTP/105/673/
DOI : 10.1143/PTP.105.673


*)E-mail: hamada@post.kek.jp

[ Full Text PDF : FREE ACCESS (196K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 108 No. 2 (2002) pp. 399-433 :
    Resummation and Higher Order Renormalization in 4D Quantum Gravity
    Ken-ji Hamada
  2. Progress of Theoretical Physics Vol. 108 No. 6 (2002) pp. 1171-1176 :
    Matter Dependence of the String Susceptibility Exponent in Four-Dimensional Simplicial Quantum Gravity
    Shinichi Horata, Hiroshi S. Egawa and Tetsuyuki Yukawa
  3. Progress of Theoretical Physics Vol. 110 No. 6 (2003) pp. 1169-1210 :
    Conformal Algebra and Physical States in a Non-Critical 3-Brane on R ×S3
    Ken-ji Hamada and Shinichi Horata

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